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arXiv · 2012.06622

Phase transition in Modified Newtonian Dynamics (MONDian) self-gravitating systems

Mohammad H. Zhoolideh Haghighi·Sohrab Rahvar·M Reza Rahimi Tabar
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Abstract

We study the statistical mechanics of binary systems under gravitational interaction of the Modified Newtonian Dynamics (MOND) in three-dimensional space. Considering the binary systems, in the microcanonical and canonical ensembles, we show that in the microcanonical systems, unlike the Newtonian gravity, there is a sharp phase transition, with a high-temperature homogeneous phase and a low temperature clumped binary one. Defining an order parameter in the canonical systems, we find a smoother phase transition and identify the corresponding critical temperature in terms of physical parameters of the binary system.

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Mohammad H. Zhoolideh Haghighi, Sohrab Rahvar, M Reza Rahimi Tabar. 2020-12-11. Phase transition in Modified Newtonian Dynamics (MONDian) self-gravitating systems. https://doi.org/10.3390/e23091158

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